Unitary equivalence and phase properties of the quantum parametric and generalized harmonic oscillators

Authors
Maamache, M Provost, JP Vallee, G
Citation
M. Maamache et al., Unitary equivalence and phase properties of the quantum parametric and generalized harmonic oscillators, PHYS REV A, 59(3), 1999, pp. 1777-1780
Citations number
12
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW A
ISSN journal
10502947 → ACNP
Volume
59
Issue
3
Year of publication
1999
Pages
1777 - 1780
Database
ISI
SICI code
1050-2947(199903)59:3<1777:UEAPPO>2.0.ZU;2-E
Abstract
A quantum parametric harmonic oscillator with a unitary evolution but not i nvariant under time reversal, is shown to be unitarily equivalent to a quan tum generalized harmonic oscillator. As a consequence the phase properties of the two systems, in particular their geometric phases, are identical. Eq uivalent results for the corresponding classical systems are deduced from t he study of the time evolution of the appropriate squeezed coherent states. [S1050-2947(99)09502-5].